If _ 0 ^ x f(t) d t=x+ _ x ^ 1 t f(t) d t then f(1) is

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

If \(\int_{0}^{x} f(t) d t=x+\int_{x}^{1} t f(t) d t\)
then \(f(1)\) is
  1. \(1\)
  2. \(\frac{-1}{2}\)

Answer

(A)

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